Method and system for network-based detecting of malware from behavioral clustering

ABSTRACT

A computerized system and method for performing behavioral clustering of malware samples, comprising: executing malware samples in a controlled computer environment for a predetermined time to obtain HTTP traffic; clustering the malware samples into at least one cluster based on network behavioral information from the HTTP traffic; and extracting, using the at least one processor, network signatures from the HTTP traffic information for each cluster, the network signatures being indicative of malware infection.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims priority of U.S. provisional patent application 61/296,288, filed Jan. 19, 2010, the entirety of which is incorporated by reference.

BRIEF DESCRIPTION OF THE FIGURES

FIG. 1A illustrates a system for network-based behavioral clustering of malware, according to one embodiment.

FIGS. 1B and 8 illustrate example systems for detecting infected computers using the behavioral clustering information, according to one embodiment.

FIGS. 2-4 illustrate a method for network-based behavioral clustering of malware, according to one embodiment.

FIGS. 5-7 illustrate examples of network-based behavioral clustering of malware, according to several embodiments.

FIG. 9 illustrates a dendrogram, accordingly to an embodiment.

SYSTEM FOR BEHAVIORAL CLUSTERING

FIG. 1A illustrates a system 100 for network-based behavioral clustering, according to one embodiment. FIG. 1A illustrates at least one clustering application 105 (described below) connected to at least one controlled environment 165 (e.g., University of Washington's BotLab™) of computers 199. The clustering application 105 can collect HTTP traffic information from known malware samples. The HTTP traffic information from the malware samples can then be clustered by the clustering application 105. Multiple types of clustering can be used to help determine which clusters are similar, including, but not limited to: coarse-grain clustering, fine-grain clustering, and cluster merging, or any combination thereof. These types of clustering are described in more detail below. Once the HTTP traffic information is clustered, network signatures can be extracted for each cluster. These network signatures can be used to identify infected computers in other computer networks.

FIG. 1B illustrates a system 150 for detecting infected computers, using the behavioral clustering information, according to one embodiment. Computers 101 in a network 110 can send requests to the server 120, which are sent to a web proxy 125, which can review the requests (e.g., to see if the requests are to authorized web sites, to see if the web proxy 125 can provide an answer to the request from its archived material) before sending the requests to the Internet 105 seeking answers from other servers. An intrusion detection system (IDS) 130 can sit between the web proxy 125 and the server 120, and can utilize the network signature information from the clustering application 105 in order to detect whether or not certain malware has infected any of the computers 101. It should be noted that, in one embodiment, the intrusion detection system 130 can be run by the entity that controls the clustering application 105. In other embodiments, the intrusion detection system 130 can be controlled by at least one other entity.

Method for Network-Based Behavioral Clustering of Malware

FIG. 2 illustrates a method for behavioral clustering, according to one embodiment. In 201, malware samples of interest can be executed in a controlled environment 165 (e.g., BotLab™) for a certain amount of time and sequences of HTTP requests from the malware samples can be recorded and sent to the clustering application 105. In 205, the malware samples can be clustered by the clustering application 105. In 210, the HTTP requests generated by the malware samples in each cluster can be processed by extracting network signatures using the clustering application 105. In 212, network signatures that may generate false alarms can be filtered out. In 215, the network signatures for the cluster can be deployed by any intrusion detection system 130 to detect malicious outbound HTTP requests, which are a symptom of infection. It should be noted that 201, 205 and 210 concern obtaining network signature information for various malware (sometimes referred to as training); and 215 concerns using the network signature information to determine if computers 101 are infected (sometimes referred to as testing). Additional details related to FIG. 2 are set forth below.

Execute Malware Samples to Get HTTP Traffic.

As explained above, in 201, given a set of malware samples M={m^((i))} (where i=1 . . . N), each malware sample m^((i)) can be executed in a controlled environment (e.g., BotLab™) for a time T. The HTTP traffic trace H(m^((i))) from each malware sample m^((i)) can then be stored.

For example, the following set of malware samples can be executed for a period of five minutes:

1854b17b1974cb29b4f83abc096cfe12.exe (sometimes referred to as TR/Crypt.NSPI.Gen)

3e570cda515c46b6a97f767ae6ae7056.exe (also sometimes referred to as TR/Crypt.NSPI.Gen)

Note that the file name can represent the MD5 hash of the executable file, which can be a cryptographic hash function often expressed as a 32-digit hexadecimal number. The HTTP traffic trace from this set of malware samples could include:

For the first malware sample:

[1248014141 192.168.16.15:1057=>222.189.238.210:80]

GET/tion/test.txt HTTP/1.1

User-Agent: ErrCode

Host: www.qq.com.aaadmin5.com

Cache-Control: no-cache

HTTP/1.1 200 OK

Content-Length: 89

Content-Type: text/plain

Last-Modified: Sat, 6 Jun. 2009 07:58:24 GMT

Accept-Ranges: bytes

ETag: “a2953917ce6c91:c4a”

Server: Microsoft-IIS/6.0

Date: Tue, 23 Jun. 2009 15:47:05 GMT

[ . . . DATA . . . ]

Note that the above trace (as well as the trace below) includes an HTTP request and the related HTTP response. For example, in the example above, the request starts with “GET . . . ” and ends with “Cache-Control: no-cache”. The response starts with “HTTP/1.1 200 OK” and ends with “[ . . . DATA . . . ]”.

For the second malware sample:

[1248014141 192.168.16.15:1059=>222.189.238.210:80]

GET/sd/02ceo.jpg HTTP/1.1

Accept: */*

Accept-Encoding: gzip, deflate

User-Agent: Mozilla/4.0 (compatible; MSIE 6.0; Windows NT 5.1)

Host: record.orangebeartv.com

Connection: Keep-Alive

HTTP/1.1 200 OK

Content-Length: 99449

Content-Type: image/jpeg

Last-Modified: Sun, 17 May 2009 05:15:15 GMT

Accept-Ranges: bytes

ETag: “62e06e76aed6c91:c4a”

Server: Microsoft-IIS/6.0

Date: Tue, 23 Jun. 2009 15:47:06 GMT

[ . . . DATA . . . ]

Partition Malware Samples into Clusters.

As explained above, in 205, the set of malware samples M can be partitioned into clusters using structural similarities among the HTTP traffic traces H(m^((i))). In order to better attain high quality clusters and decrease costs of clustering, in some embodiments, as illustrated in FIG. 3, clustering can be done using coarse-grain clustering, fine-grain clustering, or cluster merging, or any combination thereof. Coarse-grain clustering, fine-grain clustering and cluster merging can all utilize single-linkage hierarchical clustering (which sets up a tree (i.e., dendrogram) defining relationships among malware samples) and/or a DB index validation (which decides at what height the tree (i.e., dendrogram) should be cut to form clusters in a manner that causes the clusters to be compact and well-separated). Details related to single-linkage hierarchical clustering, DB index validation, coarse-grain clustering, fine-grain clustering, and cluster merging are discussed below.

Single-Linkage Hierarchical Clustering.

Single-linkage hierarchical clustering can set up a dendrogram, which can be a tree-like data structure where leaves represent malware samples, and the length of the edges (i.e., the lines) represent the distance between clusters to help define relationships among malware samples. In order to apply single-linkage hierarchical clustering on the malware samples, distance (e.g., distance in Euclidean space, distance not in Euclidean space) can be defined between each pair of malware samples. A distance matrix D={d_(ij)} (where i, j=1 . . . n), can comprise a distance d_(ij) between each pair of objects (e.g., malware samples). For example, assuming we have three objects {o₁, o₂, o₃}, an example of distance matrix D may be:

$\begin{matrix} 0 & 4 & 1 \\ 4 & 0 & 2 \\ 1 & 2 & 0 \end{matrix}\quad$

In this matrix, o₁, o₂, o₃ can be horizontal vectors or vertical vectors (note that they are symmetrical). Distance can be defined in any manner that usefully describes the difference between the malware. For example, if the three objects or, o₂, o₂, o₃ are vectors with values representing features of three different malware samples, the distance between the malware samples can be defined as the difference between the different features (e.g., statistical features, structural features) of the malware samples. (For an example of how different features of data can be compared using a defined distance, see, e.g., U.S. Provisional Application 61/292,592, entitled, “Method and System for Detecting Malware”, which is herein incorporated by reference.) For example, the distance between the malware samples could be defined as the Euclidean distance between the vectors with values representing features of the different malware samples such that the distance between o₁ and o₂ is equal to 4, the distance between or and o₃ is 1, and the distance between o₂ and o₃ is 2. Notice that D must be symmetric by definition, and the diagonal elements are equal to zero because the distance of an object to itself is always zero.

The single-linkage hierarchical clustering algorithm can take D as an input and can produce dendrogram 901 as shown in FIG. 9. Note that, in the dendrogram 901, the objects are listed along the horizontal line, and the height is listed along the vertical line. (Any scale can be used for the height, as it is the comparisons of height that are useful.) If the objects (e.g., malware samples) are O={o₁, o₂, . . . o_(n)}, the distance between two clusters C_(i)={o_(k) ^((i))} (where k=1 . . . c_(i)) and C_(j)={o_(k) ^((j))} (where j=1 . . . c_(j)) can be δ_(i,j)=min_(i,m){d_(ij)(o_(l) ^((i)),o_(m) ^((j)))}. The subscripts l and m are indexes, with l=1, . . . , c_(i), and m=1, . . . , c_(j). The function d_(ij) computes the distance between objects in cluster C_(i) and in cluster C_(j).

For example, the set O can be a set of vectors of real numbers (e.g., representing statistical features of the malware). That is, the i-th member of O can be o_(i)=[x_(i1), x_(i2), . . . , x_(in)]. A concrete example may be o_(i)=[2.1, 1E-9, -3, 100]. The distance between two objects may be the well-known Euclidean distance. A cluster C_(s) can be a subset of O that can include a certain number of objects belonging to O that are close to each other (and therefore form a group).

The obtained dendrogram can thus define relationships among objects (e.g., malware samples). A partitioning of the set of objects O (e.g., malware samples) into clusters can be obtained by cutting the dendrogram at a certain height h, using a DB index described below. (It should be noted that in other embodiments, other indexes can be used to determine height h.)

DB Index.

Clustering can involve utilizing a DB index to find the value of the height h of the dendrogram cut that produces the most compact and well-separated clusters. Thus, the DB index could indicate that the dendrogram needs to be cut at the grandparent or great-grandparent level in order to produce the most compact and well-separated clusters. The DB index can be based on a measure of intra-cluster dispersion (e.g., the average distance between all the possible pairs of objects within a cluster), and inter-cluster separation (e.g., the distance between the centers of the clusters). The DB index can be defined as:

$\Delta_{i,j} = \frac{\delta_{i} + \delta_{j}}{\delta_{i,j}}$ ${{DB}(h)} = {\frac{1}{c(h)}{\sum\limits_{i = 1}^{c{(h)}}{\max\limits_{{j = {1\mspace{14mu}\ldots\mspace{14mu}{c{(h)}}}},{j = i}}\left\{ \Delta_{1,j} \right\}}}}$ where δ_(i) and δ_(j) can represent a measure of dispersion for cluster C_(i) and C_(j), respectively. In addition, δ_(i,j) can be the separation (or distance) between the two clusters, c(h) can be the total numbers of clusters produced by a dendrogram cut at height h, and DB(h) can be the related DB index. The lower the height h, the more compact and well separated the clusters can be. Therefore, the best clustering can be found by cutting the dendrogram at height h*=arg min_(h>0) DB(h).

For example, according to the dendrogram 901, we can compute the value of the DB index for all the values of height h in the range 0 to 140. If the value of DB(90) is the minimum among all the computed values DB(0), DB(1), . . . , DB(140), h=90 can be chosen as the “cut height”.

The leaves that form a connected sub-graph after the cut can be considered part of the same cluster. For example, using the example dendrogram 901, if we cut the dendrogram 901 at height h=90 the following two clusters can be obtained: C₁={o₈, o₃, o₅}, C₂={o₄, o₇, o₁, o₂, o₉, o₆)}. As done in the case of C₁ and C₂, each cluster can be chosen based on the highest connection between the values of the DB index of height h.

Different values of the height h of the cut can produce different clustering results. For example, if the example dendrogram 901 had a cut at height h=70, instead of h=90, the following three clusters could be chosen: C₁={o₈, o₃, o₅}, C₂={o₄, o₇, o₁}, and C₃={o₂, o₉, o₆}.

Coarse-Grain Clustering.

FIG. 3 sets forth additional details related to coarse-grain clustering, fine-grain clustering, and cluster merging. In 305, coarse-grain clustering can cluster malware samples based on statistical features extracted from their malicious HTTP traffic. For example, if M={m^((i))} (where i=1 . . . N) is the set of malware samples, and H(m^((i))) is the HTTP traffic trace obtained by executing malware m(i) for a given time T, each trace H(m^((i))) can be translated into a pattern vector v^((i)), which can contain statistical features X: total number of HTTP requests, number of GET requests, number of POST requests, average length of URLs, average number of parameters in the request; average amount of data sent by POST requests, or average length of the response, or any combination thereof. It should be noted that other statistical features can also be included.

For example, if we take into consideration the first malware and therefore the first HTTP traffic trace, the statistical features would be:

Number of HTTP requests=1

Number of GET requests=1

Number of POST requests=0

Average length of the URLs=18

Average number of parameters in the request=0

Average amount of POST data sent=0

Average length of the response=89.

Because the range of statistical features can be wide, the dataset can be standardized so that the statistical features can have a mean equal to zero and a variance equal to 1. For example, each feature X can be replaced with X′=(X−m)/s, where m and s can represent the average and standard deviation of feature X, respectively. For example, assume we have the following values of feature X in an hypothetical dataset D: x₁=2, y₁=5, z₁=−3.2. In this case the average is m=1.27 and the standard deviation is 4.15. After normalization, the new dataset D′ contains: x₁′=0.18, y₁′=0.90, z₁′=−1.08.

Once the statistical features are standardized, the Euclidian distance can be applied. The Euclidean distance is a well-known, formally defined distance between vectors of numbers. It is defined as d(x,y)=sqrt(sum_(i)(x_(i)−y_(i))²), where sqrt is the root square function, sum_(i) is the summation across index i, x, is the i-the element of pattern vector x, and y, is the i-th element of pattern vector y.

Thus, for example, if the Euclidean distance is applied to the standardized dataset D′, the resulting distance matrix is:

$\begin{matrix} 0 & 0.72 & 1.25 \\ 0.72 & 0 & 1.98 \\ 1.25 & 1.98 & 0 \end{matrix}\quad$ because d(x₁′, x₁′)=0, d(x₁′, y₁′)=0.72, d(x₁′, z₁′)=1.25, d(y₁′, x₁′)=0.72, d(y₁′, y₁′)=0, d(y₁′, z₁′)=1.98, d(z₁′, x₁′)=1.25, d(z₁′, y₁′)=1.98, d(z₁′, z₁′)=0, where the function d( ) is the Euclidean distance defined above.

Once the course grain distance is found using the Euclidean distance definition, the set of malware samples M can then be partitioned into coarse-grain clusters by applying the single-linkage hierarchal clustering algorithm and cluster validity analysis based on the DB index as described above. As with the example above of a dendrogram and dendrogram cut, the DB index can be applied to each height h, and the dendrogram can be cut at the lowest value for DB(h) to find the best coarse-grain clustering.

It should be noted that course-grain clustering, fine-grain clustering, and cluster merging all use the DB index with the dendrogram and dendrogram cut. Only the formal description of the objects to be clustered and the function used to measure the definition of distance between pairs of objects needs to be changed.

Fine-Grain Clustering.

Referring again to FIG. 3, in 310, fine-grain clustering can be used to split the large coarse-grain clusters into smaller clusters. In fine-grain clustering, structural features are taken into account. The distance between two HTTP requests, r_(k) ^((i)) and r_(h) ^((j)), generated by two different malware samples m^((i)) and m^((j)), is defined as:

d_(r)(r_(k)^((i)), r_(h)^((j))) = w_(m) ⋅ d_(m)(r_(k)^((i)), r_(h)^((j))) + w_(p) ⋅ d_(p)(r_(k)^((i)), r_(h)^((j))) + w_(n) ⋅ d_(n)(r_(k)^((i)), r_(h)^((j))) + w_(v) ⋅ d_(v)(r_(k)^((i)), r_(h)^((j))) Where m, p, n, and v represent different parts of an HTTP request, as depicted in FIG. 5.

Specifically, m can represent a request method (e.g., GET, POST, HEADER), and the distance d_(m) (r_(k) ^((i)), r_(h) ^((j))) between these components of the requests is equal to 0 if the requests r_(k) ^((i)) and r_(h) ^((j)) both use the same method (e.g., both are GET requests). Otherwise, if the requests do not use the same method, the distance d_(m) (r_(k) ^((i)), r_(h) ^((j))) is equal to 1. For example, the example malware 1 and malware 2 traffic set forth above indicates that both are GET requests. Thus, the distance d_(m) between them is equal to 0.

The subscript p can represent the first part of the URL that includes the path and page name (e.g., p=act/command.php in FIG. 5,/tion/text.txt in malware example 1, and /sd/02ceo.jpg in malware example 2). The distance d_(p) (r_(k) ^((i)), r_(h) ^((j))) can be equal to the normalized Levenshtein distance between the strings related to the path and pages that appear in the two requests r_(k) ^((i)) and r_(h) ^((j)). (The normalized Levenshtein distance between two strings s₁ and s₂ is equal to the minimum number of character operations (e.g., insert, delete, or replace) needed to transform one string into the other, divided by max (length (s₁), length (s₂)).) For example, if it is assumed string s₁=“Hello my friend”, and s₂=“Hello friends”, the Levenshtein distance is equal to 4, because in order to transform s₁ into s₂ we need to: delete the substring “my_” (equal to 3 character deletions); and add the character “s” (equal to 1 addition) at the end of the new string. The NORMALIZED Levenshtein distance can thus be equal to 4/15 (4=Levenshtein distance; max of s₁, s₂=15 because there are 15 characters in the longer string)=0.267.

The subscript n can represent a set of parameter names (e.g., n=id, version, cc in FIG. 5), and d_(n) (r_(k) ^((i)), r_(h) ^((j))) can be equal to the Jaccard distance between the sets of parameter names in the two requests. (The Jaccard distance between two sets A and B is defined as

$\left. {{J\left( {A,B} \right)} = {1 - {\frac{{A\bigcap B}}{{A\bigcup B}}.}}} \right)$ For example, if it is assumed that A={apple, tree, banana, orange}, and B={pineapple, orange, tree, fruit, juice}. The elements in common to sets A and B are tree and orange=2 elements The union of A and B can thus be equal to {apple, tree, banana, orange, pineapple, fruit, juice}=7 elements. Therefore, the Jaccard distance between A and B can be J(A,B)=1-2/7=1-0.286=0.714.

The subscript v can be the set of parameter values, and distance d_(v) (r_(k) ^((i)), r_(h) ^((j))) can be equal to the normalized Levenschtein distance between strings obtained by concatenating the parameter values (e.g., 0011.0US in FIG. 5). For example, if it is assumed that request r₁=GET /act/command.php?id=001 &version=1.0&cc=US, and request r₂=GET /act/command.php?id=002&version=1.0&cc=US. In this case the distance d_(v) (r₁, r₂) is equal to the normalized Levenschtein distance between strings “0011.0US” and “0021.0US”. Namely d_(v) (r₁, r₂)=⅛=0.125.

The factors w_(x), where xε{m, p, n, v}, can be predefined weights (the actual value that can be assigned to weights w_(x) are discussed below with respect to FIG. 6) that can give more importance to the distance between the requests' method and page, for example, and less weight to the distance between parameter values. For example, the following values can be set: w_(m)=10, w_(p)=5, w_(n)=3, w_(v)=1.

Using the above information, the fine-grain distance between two malware samples can then be defined as the average minimum distance between sequences of HTTP requests from the two samples. Thus:

$d_{i,j}^{({fg})} = {{\frac{1}{2}{avg}_{k}\left\{ {\min\limits_{h}\left\{ {d_{r}\left( {r_{k}^{(i)},r_{h}^{(j)}} \right)} \right\}} \right\}} + {\frac{1}{2}{avg}_{h}\left\{ {\min\limits_{k}\left\{ {d_{r}\left( {r_{k}^{(i)},r_{h}^{(j)}} \right)} \right\}} \right\}}}$

Once the fine-grain distance is found between malware samples, the single-linkage hierarchical clustering algorithm and the DB cluster validity index can then be applied to split each coarse-grain cluster into fine-grain clusters. Thus, as with the examples above of a dendrogram and dendrogram cut, the DB index can be applied to each height h, and the dendrogram can be cut at the lowest value for DB(h) to find the best fine-grain clustering.

It should be noted that, while GET requests have the parameter names and the parameter values “inline” in the URL (e.g., see FIG. 5), this may not be true for other requests (e.g., POST requests) due to different network protocols. However, it should be noted that, for other types of requests (e.g., POST requests), it may often be very easy to retrieve the parameter names and the parameter values from the data section at the end of the HTTP query due to network protocols. Thus, it follows that the distance d_(i,j) ^((fg)) described above can be used for many kinds of requests (e.g., GET requests, POST requests, other HTTP requests).

It also should be noted that, in some embodiments, the fine-grain distance between malware samples does not need to take into account the domain name or IP address related to the Web server to which the HTTP requests are sent, because this information may change frequently from one malware variant to another (e.g., the attacker can rapidly move from one control server to another, and the already-infected machines can be updated by sending them an update server command.) However, in some embodiments, the domain name and/or IP address related to the Web server can be used.

Cluster Merging.

While fine-grain clustering (which is performed after coarse-grain structuring) is based on structural features, coarse-grain clustering is based on statistical features, and thus malware belonging to the same family (according to their HTTP behavior in terms of the HTTP traffic they generate) can end up in different coarse-grain, and in turn, fine-grain clusters. Thus, in 315 (FIG. 3), a further clustering step can be used where clusters of malware that have similar HTTP behavior, but which have been split during coarse-grain clustering, can be merged together in a process called cluster merging (also called meta-clustering).

FIG. 4 illustrates details related to cluster merging, according to one embodiment. In 405, given a set of fine-grain malware clusters, a cluster centroid for each of the clusters can be defined. A cluster centroid can summarize HTTP requests performed by malware samples in a particular cluster. In 410, distances between centroids (and therefore between clusters) can be defined. In 415, meta-clustering can then group together malware samples that are very close to each other based on the determined distances, even if they are in different course-grain clusters. In some embodiments, these malware sample clusters can be merged to form bigger clusters, again, even across course-grain clusters. Details related to these elements of FIG. 4 are set forth below.

As set forth in 405, cluster centroids are first defined. If C_(i)={m_(k) ^((i))} (where k=1 . . . c_(i)) is a cluster of malware samples, H_(i)={H(m_(k) ^((i)))} (where k=1 . . . c_(i)) can be the related set of HTTP traffic traces obtained by executing each malware sample in C_(i). For example, the traffic trace from the first malware example given above may be used as one of the traffic traces in H_(i) As explained earlier, this traffic trace can be obtained by executing one of the malware samples in C_(i).

Thus, for example, if the first malware sample in cluster C₁ is:

m₁ ⁽¹⁾=1854b17b1974cb29b4f83abc096cfe12.exe

Then the traffic trace H (m₁ ⁽¹⁾) can be:

[1248014141 192.168.16.15:1057=>222.189.238.210:80]

GET /tion/test.txt HTTP/1.1

User-Agent: ErrCode

Host: www.qq.com.aaadmin5.com

Cache-Control: no-cache

HTTP/1.1 200 OK

Content-Length: 89

Content-Type: text/plain

Last-Modified: Sat, 6 Jun. 2009 07:58:24 GMT

Accept-Ranges: bytes

ETag: “a2953917ce6c91:c4a”

Server: Microsoft-IIS/6.0

Date: Tue, 23 Jun. 2009 15:47:05 GMT

[ . . . DATA . . . ]

Similarly, if the second malware sample in cluster C₁ is:

m₁ ⁽²⁾=3e570cda515c46b6a97f767ae6ae7056.exe

Then the traffic trace H (m₁ ⁽²⁾) can be:

[1248014141 192.168.16.15:1059=>222.189.238.210:80]

GET /sd/02ceo.jpg HTTP/1.1

Accept: */*

Accept-Encoding: gzip, deflate

User-Agent: Mozilla/4.0 (compatible; MSIE 6.0; Windows NT 5.1)

Host: record.orangebeartv.com

Connection: Keep-Alive

HTTP/1.1 200 OK

Content-Length: 99449

Content-Type: image/jpeg

Last-Modified: Sun, 17 May 2009 05:15:15 GMT

Accept-Ranges: bytes

ETag: “62e06e76aed6c91:c4a”

Server: Microsoft-IIS/6.0

Date: Tue, 23 Jun. 2009 15:47:06 GMT

[ . . . DATA . . . ]

The centroid of C_(i) can be represented as a set of network signatures S_(i)={s_(j)} (where j=1, . . . l_(i)) from a set of HTTP request pools Pi={p_(j)} (where j=1, . . . l_(i)).

For example, a centroid could comprise the following two signatures:

GET /tion.*1/test\.txt

GET /sd/0.*ceo\.jpg?id=.*

Each signature s_(j) can be extracted from a pool p_(j) of HTTP requests selected from the traffic traces in H_(i).

In order to create a set of request pools P_(i), one of the malware samples in cluster C_(i) can be randomly selected as the centroid seed. For example, assume m_(h) ^((i)) is the first malware sample given above (1854b17b1974cb29b4f83abc096cfe12.exe) and assume this is picked as the centroid seed. Then, the set of HTTP requests in the HTTP traffic trace can be H(m_(h) ^((i)))={r_(j)} (where j=1, . . . l_(i)), where r_(j) represents the j-th HTTP request in the traffic trace H(m_(h) ^((i))). The pool set P_(i) can be initialized by putting each request r_(j) in a different (and until initialized, empty) pool p_(j) (where j=1, . . . l_(i)). Using the definition of distance d_(p) (r_(k) ^((i)), r_(h) ^((j))), for each request r_(j)εH(m_(h) ^((i))), the closest request r′_(k)εH(m_(g) ^((i))) can be found from another malware sample m_(g) ^((i))εC_(i), and r′_(k) can be added to the pool p_(j). This can be repeated for all malware m_(g) ^((i))εC_(i), where g≠h. After this process is complete, and pool p_(j) has been constructed with HTTP requests, the same process can be followed to construct additional pools p_(j′≠j), starting from request r_(j)′εH(m_(h) ^((i))), until all pools p_(j) (where j=1, . . . l_(i)) have been constructed.

Once the pools have been filled with HTTP requests, a signature s_(j) can be extracted from each pool p_(j), using a Token Subsequences algorithm. A Token Subsequences signature can be an ordered list of invariant tokens (e.g., substrings that are in common to all the requests in a request pool p). Therefore, a signature s_(j) can be written as a regular expression of the kind t1.*t2.* . . . *tn, where the t's are invariant tokens that are common to all the requests in the pool p_(j). For example, the example (a) of FIG. 6 illustrates a network signature where t1=“GET/”, t2=“/command\.php\?id=1”., t3=“&version=”, and t4=“&cc=”. The plain text version (b) of FIG. 6 illustrates how the signature looks when it has not been separated into tokens. Note that the network signature is the same as the plain text version, except the tokens are divided by the characters “.*”. In some embodiments, only the first part of each HTTP request (e.g., the request method and URL) can be considered for signature generation purposes.

As set forth in 410, once a cluster centroid has been computed for each fine-grain cluster, the distance between pairs of centroids d(S_(i), S_(j)) (which also represents the distance between clusters C_(i) and C_(j)) can be computed. As indicated above, the centroid S_(i)={s_(k)}, where k=1, . . . l_(i), comprises a set of network signatures s_(k). As noted above, a centroid may comprise the following set of two signatures:

GET /tion.*1/test\.txt

GET /sd/0.*ceo\.jpg?id=.*

The distance between pairs of signatures can be determined as follows. For example, s_(i) can be the signature in example (a) of FIG. 6, and s′_(j) can be the plain text version of the invariant tokens in signature s_(j) (e.g., (b) of FIG. 6). The distance between two signatures s_(i) and s_(j) can be defined as:

${d\left( {s_{i},s_{j}} \right)} = {\frac{{agrep}\left( {s_{i},s_{j}^{\prime}} \right)}{{length}\left( s_{i}^{\prime} \right)} \in \left\lbrack {0,1} \right\rbrack}$ where agrep (s_(i), s′_(j)) can be a function that performs approximate matching of regular expressions of the signature s_(i) on the string s′_(j), and returns the number of encountered matching errors; and length (s′_(i)) can be the length of the string s′_(i). It should be noted that approximate matching can be a defined difference between signatures.

For example, consider the following two signatures:

s₁=“GET /sd/0.*ceo\.jpg?id=.*” and

s₂=“GET /sd/0.*Zeo\.jpg?id=.*qt”

If the plain text version of s₁ is s₁′=“GET /sd/0ceo\jpg?id=”, and if the plain text version of s₂ is s₂′=“GET /sd/0Zeo.jpg?id=qt”, the distance is thus d(s₁, s₂)= 1/22=0.045, because agrep(s₁, s₂′)=1, and length(s₂′)=22. It should be noted that agrep can be 1 because of the matching error of “c” and “Z”. The fact that “qt: is added as additional characters to s₂ is not considered a matching error in this particular approximate matching algorithm. It should also be noted that in this particular approximate matching algorithm d(s_(i), s_(j)) is equal to zero when s_(i) perfectly “covers” (i.e., is more generic than) s_(j), and tends to one when signatures s_(i) and s_(j) are more and more different. Those of ordinary skill in the art will see that any kind of approximate matching algorithm can be used to perform the approximate matching.

For example consider the following signatures:

s₁=“GET /sd/0.*ceo\.jpg?id=.*”

s₂=“GET /sd/0.*Zeo\.jpg?id=.*qt”

s₃=“POST /index.html”

In this case d(s₁, s₂)= 1/22=0.045, whereas d(s₁, s₃)= 13/22=0.8125.

Given the above definition of distance between signatures, the distance between two centroids (i.e., two clusters) can be defined as the minimum average distance between two sets of signatures. Thus,

$\begin{matrix} {{d\left( {C_{i},C_{j}} \right)} = {d\left( {S_{i},S_{j}} \right)}} \\ {= {\min\left\{ {{\frac{1}{l_{i}}{\sum\limits_{i}^{l_{i}}{\min\limits_{j}\left\{ {d\left( {s_{i,}s_{j}} \right)} \right\}}}},{\frac{1}{l_{j}}{\sum\limits_{j}^{l_{j}}{\min\limits_{i}\left\{ {d\left( {s_{j},s_{i}} \right)} \right\}}}}} \right\}}} \end{matrix}$ where s_(i)εS_(i), s_(j)εS_(j), and l_(i) and l_(j) represent the number of signatures in centroid S_(i) and centroid S_(j), respectively. It should be noted that when computing the distance between two centroids, only signatures s_(k) for which length (s′_(k))≧λ are considered, in order to avoid applying the agrep function on short signatures. Here, s′_(k) is again the plain text version of s_(k), length (s′_(k)) is the length of the string s′_(k), and λ is a predefined length threshold (e.g., λ=10). The threshold λ can be chosen to avoid applying the agrep function on short, and sometimes too generic signatures that would match most HTTP requests (e.g., s_(k)=GET /.*), and would thus artificially skew the distance value towards zero.

As set forth in 415, once the cluster merging distance is found, the single-linkage hierarchical clustering algorithm can be applied in combination with the DB validity index to find groups of clusters (or meta-clusters) that are close to each other. Thus, as with the examples above of a dendrogram and dendrogram cut, the DB index can be applied to each height h, and the dendrogram can be cut at the lowest value for DB(h) to find the best cluster merging.

The clusters that are grouped together by the hierarchical clustering algorithm can then be merged to form one larger cluster of malware samples that share similar HTTP traffic behavior. For example, it can be assumed that clusters C₁={o₈, o₃, o₅}, C₂={o₄, o₇, o₁}, and C₃={o₂, o₉, o₆} have been obtained from the meta-clustering process. In this case, the objects o₁, o₂, etc., can represent clusters of malware, and the clusters C₁, C₂, and C₃ can be meta-clusters (i.e., clusters of clusters). At this point, we can merge o₈, o₃, and o₅ to obtain a new cluster of malware o_(m1), then we can merge o₄, o₇, and o₁ to obtain a new cluster of malware o_(m2), and merge o₂, o₉, and o₆ to obtain a new cluster of malware o_(m3).

The HTTP traffic generated by the malware samples in each meta-cluster can then be used as input to an automatic network signature generation algorithm, as explained below.

Extract Network Signatures from Clusters.

As set forth above, in 210, the HTTP traffic generated by the malware samples M in the same cluster can be processed by extracting network signatures. Thus, once clusters are found that share similar HTTP behavior, for each of these clusters C′_(i) (where i=1 . . . c), an updated centroid signature set S′_(i) can be computed using the same algorithm used for computing cluster centroids. As mentioned above, when extracting the signatures, only the HTTP request method and complete URL can be considered, as shown in (a) of FIG. 6. Also, as with the clustering process, the server name or IP do not need to be considered when generating network signatures.

Filter Out Network Signatures that May Generate False Alarms.

As set forth above, in 212, network signatures that may generate false alarms can be filtered out. After the network signatures are generated, and before the network signatures are deployed, filtering can be done to minimize the probability that the deployed signatures will generate false alarms. To this end, a network signature pruning process can be performed.

Given a set of network signatures S, each signature s in S can be matched against a set D of real URLs that are considered to be legitimate. The set D can be collected from live network traffic. In some embodiments, the set D can be collected in a privacy preserving way. This can be done because URLs sometimes embed personal information such as login names and passwords. Therefore, is some embodiments, collecting an storing such types of URLs can be avoided.

For example, if a URL U is represented by the portion of the following address highlighted in bold:

http:www.damballa.com/overview/index.php

then U=“/overview/index.php”. When monitoring network traffic at the edge of a network, as shown by 805 in FIG. 8, there can be multiple hosts that query U during a certain period of observation (e.g., 1 day). A privacy-preserving URL collection method, which can take into account the observation that if U is queried by more than K different hosts, U will not usually embed any host-specific (and therefore potentially person-specific) information. In other words, U will likely not be able to be used to identify private information related to one specific person, and thus U can be regarded as anonymous.

In some embodiments, a privacy-preserving URL collection algorithm (Algorithm 1) can be used:

Algorithm 1: function CollectURLs(S, K): input: S = {(SrcIP, U)_(i)}_(i=l..n) // S is a set of tuples (SrcIP, U), where U is a URL and SrcIP is the IP address of the hosts that queried for U input: K // the threshold on the number of different hosts that should lookup U. before U is stored output: A = {U_(j)}_(j=l..m) // A is a set of anonymous URLs BU = new CountingBloomFilter( ) BS = new BloomFilter( ) for each s in S do: c = BU.contains(s.U) // returns a counter c of how many times we saw s.U if c >= K then: A.add(s.U) else str = concat(s.SrcIP,s.U) // concatenates strings s.SrcIP and s.U. if not BS.contains(str) then: BS.insert(str) BU.increment(s.U) // increments the counter for s.U (set to 1 if s.U was not previously in BU). end end end return A /* end of function */

Algorithm 1 above can thus put the Us where the number of different source IPs from which those particular Us were queried was greater than or equal to a certain number K (e.g., 3), in the set A. The set A, which can represent likely anonymous URLs, can be stored and used for D.

For example, if a network of eight machines is being monitored, and each machine has a different IP address in the range from 10.0.0.1 to 10.0.0.8, the machines in the monitored network could visit certain URLs in the following sequence:

10.0.0.1 /index.php?page=3&version=0.1 10.0.0.1 /login.php?user=bob&password=superman 10.0.0.3 /index.html 10.0.0.2 /sport_cars.html 10.0.0.4 /index.html 10.0.0.2 /index.php?page=3&version=0.1 10.0.0.5 /index.html 10.0.0.2 /index.php?page=3&version=0.1 10.0.0.6 /index.php?page=3&version=0.1 10.0.0.7 /login.php?user=jean&password=batman 10.0.0.8 /login.php?user=jack&password=spiderman 10.0.0.5 /index.html 10.0.0.6 /funny_movie.mov If we set K=3, Algorithm 1 can produce the following URLs for D:

/index.php?page=3&version=0.1 /index.html This can be because “/index.php?page=3&version=0.1” was queried by three different IPs, namely {10.0.0.1, 10.0.0.2, 10.0.0.6}, and “/index.html” was also queried by three different IPs, namely {10.0.0.3, 10.0.0.4, 10.0.0.5}.

In other embodiments, another algorithm (Algorithm 2) can be used to collect a higher number of likely anonymous URLs. As background for one reason why Algorithm 2 can be used to collect a higher number of likely anonymous URLs, the following example can be considered. If two clients query for the following URLs:

CLIENT-1: GET /login.php?user=bob&password=superman

CLIENT-2: GET /login.php?user=jean&password=batman

because the above URLs are different, they would not be aggregated and counted towards meeting the threshold K in Algorithm 1. Therefore, the URLs would be regarded as “private” and not used in D. However, the structure of these two URLs is the same. That is, by eliminating the parameter values from the URLs above, the same structure for both can be obtained, as follows:

CLIENT-1: GET /login.php?user=&password=

CLIENT-2: GET /login.php?user=&password=

Thus, in order to collect both anonymous URLs and anonymous URL structures, the following algorithm (Algorithm 2) can be used:

Algorithm 2 function ExtendedCollectURLs(S, K): input: S = {(SrcIP, U)_(i)}_(i=l..n) // S is a set of tuples (SrcIP. U), where U is a URL and SrcIP is the IP address of the hosts that queried for U input: K // the threshold on the number of different hosts that should lookup U, before U is stored output: A = {U_(j)}_(j=l..m) // A is a set of anonymous URLs and URL structures S’ = S for each s in S do: U’ = extractURLStructure(s.U) // extracts the structure of URL s.U s’ = (s.IP, U’) S’.add(s’) end return CollectURLs(S’, K) /* end of function */ Algorithm 2 above can thus put the Us where the number of different source IPs from which the structure of those particular Us were queried was greater than or equal to a certain number K, in the set A. As indicated above, the set A, which can represent likely anonymous URLs, can be stored and used for D.

For example, similar to the example of Algorithm 1, if a network of eight machines is being monitored, and each machine has a different IP address in the range from 10.0.0.1 to 10.0.0.8, the machines in the monitored network could visit certain URLs in the following sequence:

10.0.0.1 /index.php?page=3&version=0.1 10.0.0.1 /login.php?user=bob&password=superman 10.0.0.3 /index.html 10.0.0.2 /sport_cars.html 10.0.0.4 /index.html 10.0.0.2 /index.php?page=3&version=0.1 10.0.0.5 /index.html 10.0.0.2 /index.php?page=3&version=0.1 10.0.0.6 /index.php?page=3&version=0.1 10.0.0.7 /login.php?user=jean&password=batman 10.0.0.8 /login.php?user=jack&password=spiderman 10.0.0.5 /index.html 10.0.0.6 /funny_movie.mov If we set K=3, Algorithm 2 can produce the following URLs for D:

/index.php?page=3&version=0.1 /index.html /login.php?user=&password= This can be because the following three requests:

10.0.0.1 /login.php?user=bob&password=superman 10.0.0.7 /login.php?user=jean&password=batman 10.0.0.8 /login.php?user=jack&password=spiderman have the same structure, and therefore it turns out that the URL structure “/login.php?user=&password=” was queried by at least K=3 source IPs, namely {10.0.0.1, 10.0.0.7, 10.0.0.8}. Therefore, Algorithm 1, which can be called internally by Algorithm 2, can consider these URLs as anonymous, and can add them to D. It should be noted that the URL structures that are searched can be set up by a user that sees a pattern and creates the URL structure based on the pattern. In some embodiments, this process could be automated.

It should also be noted that, in some embodiments, Algorithm 1 and Algorithm 2, or any combination of these algorithms, can also be utilized.

Deploy Network Signatures to Detect Malicious HTTP Requests.

As set forth above, in 215, the network signatures can be deployed (e.g., using intrusion detection system 130) to detect malicious outbound HTTP requests, which are a symptom of infection.

It should be noted that some malware samples may contact malicious websites (e.g., the C&C server of a botnet) as well as legitimate websites (e.g., a search engine such as yahoo.com or msn.com). Therefore, some of the signatures s′_(k)εS′_(i), which are extracted from the HTTP traffic generated by malware samples in cluster C′_(i) may fortuitously match legitimate HTTP requests, thus generating false positives. In some embodiments, it can be assumed that there is no a priori information relating to why some malware try to contact a legitimate website, and thus it can be hard to apply simple traffic prefiltering (e.g., using domain name whitelisting). For example, some malware may contact yahoo.com to actually perpetrate part of their malicious actions, using very specific search queries that are rare, or may not be seen at all in legitimate traffic. Therefore, prefiltering all the HTTP requests to yahoo.com may not be a good because information (e.g., HTTP requests are signatures) that are specific to certain malware families could be discarded.

In order to solve this problem, instead of using prefiltering of the HTTP traffic towards legitimate websites, a post-filtering signature pruning process can be applied. Given a set of signatures (e.g., a cluster centroid) S′_(i), the signatures s′_(k)εS′_(i) can be matched against a large dataset of legitimate HTTP requests. The signatures that generate any alert can be filtered out, and only the signatures that do not match any legitimate HTTP request can be kept to form a pruned signatures set S″_(i). The pruned signature set S″₁ can then be deployed into intrusion detection system 130 to identify compromised machines within the monitored network with a very low false positive rate. For example, the signatures:

s₁=“GET /sd/0.*ceo\.jpg?id=.*”

s₂=“GET /sd/0.*Zeo\.jpg?id=.*qt”

s₃=“POST /malware.html”

can be deployed in intrusion detection system 130 to detect malicious traffic. The intrusion detection system 130 can run searches for the signatures in order to determine traffic that has the signatures, identify machines that are sending the traffic, and thus identify compromised machines.

Perform Clustering Validation to Determine how Well Clustering was Done.

In some embodiments, it can be desirable to analyze the clustering results by quantifying the level of agreement between the obtained clusters and the information about the clustered malware samples given by different anti-virus (AV) scanners. At least one AV label graph, which can utilize at least one cohesion index and at least one separation index, can be used, as described below.

AV Label Graphs.

AV label graphs can map the problem of measuring cohesion (or compactness) and separation of clusters in terms of graph-based indexes (i.e., a cohesion index and a separation index). Both cohesion and separation can be measured in terms of the agreement between the labels assigned to the malware samples in a cluster by multiple AV scanners. In practice, the cohesion of a cluster can measure the average similarity between any two objects in the cluster, and can be maximized when the AV scanners consistently label the malware samples in a cluster as belonging to the same family (although different AVs may use different labels, as explained below.) On the other hand, the separation between two clusters C_(i) and C_(j) can measure the average label distance between malware belonging to C_(i) and malware belonging to C_(j), and can give an indication about whether the malware samples in the two clusters were labeled by the AV scanners as belonging to different malware families or not. The clusters generated by the behavioral clustering can have maximum cohesion and be well separated at the same time, in one embodiment. It should be noted, however, that since the AV labels themselves are not always consistent, the measures of cluster cohesion and separation may give only an indication of the validity of the clustering results. The cluster cohesion and separation indexes can be devised to mitigate possible inconsistencies among AV labels. Thus, the system can be a tool for analyzing and comparing the results of malware clustering systems with traditional AV labels.

FIG. 7 illustrates an example of how to construct an AV label graph given a cluster of malware samples. Section (a) of FIG. 7 illustrates a malware cluster which contains eight malware samples (one per line). Each line reports the MD5 hash of a malware sample, and the AV labels assigned to the sample by three different AV scanners: McAfee, Aviri, and Trend Micro. From this malware cluster, the following AV label graph can be constructed as follows:

1. A node can be created in the graph for each distinct AV malware family label. A malware family label can be identified by extracting the first AV label substring that ends with a “.” character. For example, the first malware sample of portion a of FIG. 7 can be classified as belonging to the W32/Virut family by McAfee, WORM/Rbot by Avira, and PE-VIRUT by Trend Micro. Therefore, three nodes in the AV label graph of (b) of FIG. 7 can be created called: McAfee_W32_Virut, Avira_WORMRbot, and Trent_PE_VIRUT. If a malware sample is missed (not detected) by an AV scanner, this information can be mapped into a special null label. For example, if Avira did not detect the last malware sample (e.g., W32/Virut) from (a) in FIG. 7, a node called Avira_null could be added to the AV label graph in (b) of FIG. 7, and it could be connected to nodes McAfee_W32-Virut and Trend_PE_VIRUT.

2. Once all the nodes have been created for all the malware samples (e.g., all the malware samples in portion a of FIG. 7), the nodes can be connected using weighted edges. Two nodes can be connected with an edge only if the related two malware family labels (e.g., the name of the nodes) appear together in a least one of the lines of (a) in FIG. 7 (e.g., for at least one sample).

3. A weight equal to 1—(m/n) can be assigned to each edge, where m represents the number of times the two malware family labels connected by the edge have appeared on the same line in the cluster (e.g., for the same malware sample) and n is the total number of samples in the cluster (e.g., n=8 in the example in FIG. 7 a).

As seen from FIG. 7 b, the nodes Mcafee_W32_Virut and Trend_PE_VIRUT are connected by an edge with weight equal to zero. This is because both McAfee and Trend Micro consistently classify each malware sample in the cluster as W32/Virut and PE-VIRUT, respectively (i.e., m=n). On the other hand, the edge between nodes McAfee_W32_Virut and Avira_W32_Virut, for example, can be assigned a weight equal to 0.625 because in this case m=3.

An AV label graph can be an undirected weighted graph. For example, given a malware cluster C_(i)={m_(k) ^((i))} (where k=1 . . . c_(i) if Γ_(i)={L₁=(l₁, . . . , l_(v))₁, . . . , L_(c) ₁ =(l₁, . . . , l_(v))_(c) _(i) }) can be a set of label vectors, where label vector L_(h)=(l₁, . . . , l_(v))_(h) is the set of malware family labels assigned by v different AV scanners to malware m_(h) ^((i))εC_(i). The AV label graph G_(i)={V_(k) ^((i)), E_(k) ₁ _(,k) ₂ ^((i))}, where k=1 . . . l, can be constructed by adding a node V_(k) ^((i)) for each distinct malware family label l_(k)εΓ_(i). Two nodes V_(k) ₁ ^((i)) and V_(k) ₂ ^((i)) can be connected by a weighted edge E_(k) ₁ _(,k) ₂ ^((i)) if the malware family labels l_(k) ₁ and l_(k) ₂ related to the two nodes appear at least once in the same label vector L_(h)εΓ_(i). Each edge E_(k) ₁ _(,k) ₂ ^((i)) can be assigned a weight w=1—(m/c_(i)), where m is equal to the number of label vectors L_(h)εΓ_(i) containing both l_(k) ₁ and l_(k) ₂ , and c_(i) is the number of malware samples in C_(i).

Cohesion Index.

The cohesion index can be defined as follows: Given a cluster C_(i), let G_(i)={V_(k) ^((i)), E_(k) ₁ _(,k) ₂ ^((i))} (where k=1 . . . l) be the AV label graph, and δ_(i) ¹ _(,i) ₂ be the shortest path between two nodes V_(i) ₁ ^((i)) and V_(i) ₂ ^((i)) in G_(i). If no path exists between the two nodes, the distance can be assumed to be equal to a constant “gap” γ>>sup (w_(k) ₁ _(,k) ₂ ), where w_(k) ₁ _(,k) ₂ is the weight of a generic edge E_(k) ₁ _(,k) ₂ ^((i))εG_(i). The cohesion index of cluster C_(i) can be defined as:

${c\left( C_{i} \right)} = {1 - {\frac{1}{\gamma}\frac{2}{n \cdot {v\left( {{n \cdot c} - 1} \right)}}{\sum\limits_{l_{1} < l_{2}}\delta_{l_{1},l_{2}}}}}$ where n is the number of malware samples in the cluster, and v is the number of different AV scanners.

For example, if sup (w_(k) ₁ _(,k) ₂ )=1 and γ=10, the cohesion index C(C_(i))ε[0, 1] can be equal to one when each AV scanner consistently assigns the same malware family label to each of the malware samples in cluster C_(i). Alternatively, the cohesion index can tend to zero if each AV scanner assigns different malware family labels to each of the malware samples in the cluster. For example, the graph in (b) of FIG. 7 has a cohesion index equal to 0.999. The cohesion index is very high because both McAfee and Trend Micro consistently assign the same family label (McAfee_W32_Virut and Trend_PE_VIRUT, respectively) to all samples in the cluster. If Avira also consistently assigned the same family label to all the samples (either always Avira_W32_Virut or always Avira_W32_Rbot), the cohesion index would be equal to one. Thus, regardless of the inconsistency in Avira's labels, because multiple AV scanners are used and the notion of AV label graphs is leveraged, the cluster (a) in FIG. 7 can be correctly considered as very compact.

Separation Index.

The separation index can be defined as follows: Given two clusters C_(i) and C_(j) and their respective label graphs G_(i) and G_(u), let C_(ij) be the cluster obtained by merging C_(i) and C_(j), and G_(ij) be its label graph. By definition, G_(ij) will contain all the nodes V_(k) ^((i))εG_(i) and V_(h) ^((j))εG_(j). The separation index S(C_(i), C_(j)) between C_(i) and C_(j) can be defined as:

${S\left( {C_{i},C_{j}} \right)} = {\frac{1}{\gamma}{avg}_{k,h}\left\{ {\Delta\left( {V_{k}^{(i)},V_{h}^{(j)}} \right)} \right\}}$ where Δ(V_(k) ^((i)) and V_(h) ^((j))) can be the shortest path in G_(ij) between nodes V_(k) ^((i)) and V_(h) ^((j)), and γ is the “gap” described above with respect to the cohesion index.

It should be noted that the separation index can take values in the interval [0, 1]. For example, S(C_(i), C_(j)) can be equal to zero if the malware samples in clusters C_(i) and C_(j) are all consistently labeled by each AV scanner as belonging to the same malware family. Higher values of the separation index can indicate that the malware samples in C_(i) and C_(j) are more and more diverse in terms of malware family labels, and can be perfectly separated (i.e., S(C_(i), C_(j))=1) when no intersection exists between the malware family labels assigned to malware samples in C_(i), and the ones assigned to malware sample C_(j).

While various embodiments of the present invention have been described above, it should be understood that they have been presented by way of example, and not limitation. It will be apparent to persons skilled in the relevant art(s) that various changes in form and detail can be made therein without departing from the spirit and scope of the present invention. Thus, the present invention should not be limited by any of the above-described exemplary embodiments.

In addition, it should be understood that the figures described above, which highlight the functionality and advantages of the present invention, are presented for example purposes only. The architecture of the present invention is sufficiently flexible and configurable, such that it may be utilized in ways other than that shown in the figures.

Further, the purpose of the Abstract of the Disclosure is to enable the U.S. Patent and Trademark Office and the public generally, and especially the scientists, engineers and practitioners in the art who are not familiar with patent or legal terms or phraseology, to determine quickly from a cursory inspection the nature and essence of the technical disclosure of the application. The Abstract of the Disclosure is not intended to be limiting as to the scope of the present invention in any way.

It should also be noted that the terms “a”, “an”, “the”, “said”, etc. signify “at least one” or “the at least one” in the specification, claims and drawings.

Finally, it is the applicant's intent that only claims that include the express language “means for” or “step for” be interpreted under 35 U.S.C. 112, paragraph 6. Claims that do not expressly include the phrase “means for” or “step for” are not to be interpreted under 35 U.S.C. 112, paragraph 6. 

The invention claimed is:
 1. A computerized method for performing behavioral clustering of malware samples, comprising: executing malware samples in a controlled computer environment for a predetermined time to obtain HTTP traffic; clustering, using at least one processing device, the malware samples into at least one coarse-grain cluster based on network behavioral information measured from content of the HTTP traffic; splitting, using the at least one processing device, the at least one coarse-grain cluster into at least two fine-grain cluster; clustering, using the at least one processing device, the at least two fine-grain cluster into merged clusters; and extracting, using the at least one processing device, network signatures from the HTTP traffic information for each merged cluster, the network signatures being indicative of malware infection.
 2. The method of claim 1, further comprising: pruning the network signatures that generate false positives.
 3. The method of claim 1, further comprising: deploying the network signatures for each merged cluster in order to detect malicious outbound HTTP requests.
 4. The method of claim 1, wherein statistical features extracted from the HTTP traffic and structural features extracted from the HTTP traffic are utilized.
 5. The method of claim 1, wherein single-linkage hierarchical clustering and/or at least one DB index are utilized.
 6. The method of claim 1, further comprising utilizing at least one AV label graph to measure how well clustering was done.
 7. The method of claim 6, wherein the at least one AV label graph utilizes at least one cohesion index and/or at least one separation index.
 8. The method of claim 1, wherein network signatures that may generate false alarms are filtered out.
 9. A computerized system for performing behavioral clustering of malware samples, comprising: at least one application executed by at least one processing device, the at least one application configured for: executing malware samples in a controlled computer environment for a predetermined time to obtain HTTP traffic; clustering, using the at least one processing device, the malware samples into at least one coarse-grain cluster based on network behavioral information measured from content of the HTTP traffic; splitting, using the at least one processing device, the at least one coarse-grain cluster into at least two fine-grain clusters; clustering, using the at least one processing device, the at least two fine-grain clusters into merged clusters; and extracting, using the at least one processing device, network signatures from the HTTP traffic information for each merged cluster, the network signatures being indicative of malware infection.
 10. The system of claim 9, wherein the at least one application is further configured for: pruning the network signatures that generate false positives.
 11. The system of claim 9, wherein the at least one application is further configured for: deploying the network signatures for each cluster in order to detect malicious outbound HTTP requests.
 12. The system of claim 9, wherein statistical features extracted from the HTTP traffic and structural features extracted from the HTTP traffic are utilized.
 13. The system of claim 9, wherein single-linkage hierarchical clustering and/or at least one DB index are utilized.
 14. The system of claim 9, wherein the at least one application is further configured for: utilizing at least one AV label graph to measure how well clustering was done.
 15. The system of claim 14, wherein the system is further configured such that the at least one AV label graph utilizes at least one cohesion index and/or at least one separation index.
 16. The system of claim 9, wherein network signatures that may generate false alarms are filtered out. 